Question

Find the area of this figure.

Answer 1

144 ft^2

Explanation:

We can split this shape into a rectangle and into a trapezoid. The rectangle we can use is the one with side lengths of 12.4 and 6, and to find this area we just multiply these two to get 74.4.

The trapezoid we can make has bases of 5 and 12.4, and has a height of 8 ft. The equation representing the height of a trapezoid is
`\\(1)/(2) (b_(1)+b_(2) )*h`, and plugging in to this equation we get:

1/2(5+12.4)*8

1/2(17.4)*8

8.7*8

69.6

Finally, we add the area of the trapezoid and rectangle together to get 69.6+74.4=144